2. The force F and the dimension d are given. Because of the rollers at C, the supporting re- action there is normal to the inclined plane. 3d What is the force in member AC? B 5d F

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Solutions must be based solely on the method of joints.

The force \( F \) and the dimension \( d \) are **given**. Because of the rollers at \( C \), the supporting reaction there is normal to the inclined plane. What is the force in member \( AC \)?

**Diagram Description:**

The image shows a structural mechanism with three points labeled \( A \), \( B \), and \( C \). Member \( AC \) is inclined, and member \( BC \) is horizontal. 

- \( F \) is applied vertically downward at point \( B \).
- The vertical distance from point \( B \) to the horizontal line through point \( A \) is \( 3d \).
- The horizontal distance from point \( C \) to point \( B \) is \( 5d \).
- There are rollers at point \( C \), and they are positioned on an inclined plane at a \( 45^\circ \) angle relative to the horizontal axis. 

The task is to determine the force in member \( AC \).
Transcribed Image Text:The force \( F \) and the dimension \( d \) are **given**. Because of the rollers at \( C \), the supporting reaction there is normal to the inclined plane. What is the force in member \( AC \)? **Diagram Description:** The image shows a structural mechanism with three points labeled \( A \), \( B \), and \( C \). Member \( AC \) is inclined, and member \( BC \) is horizontal. - \( F \) is applied vertically downward at point \( B \). - The vertical distance from point \( B \) to the horizontal line through point \( A \) is \( 3d \). - The horizontal distance from point \( C \) to point \( B \) is \( 5d \). - There are rollers at point \( C \), and they are positioned on an inclined plane at a \( 45^\circ \) angle relative to the horizontal axis. The task is to determine the force in member \( AC \).
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